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人気のある微分積分 >

(\partial)/(\partial v)(sin(v)cos(u))

解

\frac{\partial}{\partial v} (sin (v) cos (u))

解

cos (u) cos (v)

解答ステップ

\frac{\partial}{\partial v} (sin (v) cos (u))

u

を定数として扱う

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (u) \frac{\partial}{\partial v} (sin (v))

共通の導関数を適用:

\frac{\partial}{\partial v} (sin (v)) = cos (v)

= cos (u) cos (v)

人気の例

integral of (sin(2x))/(28+cos^2(x))

\int \frac{sin ( 2 x )}{28 + cos ^{2} ( x )} d x

y^{''}-5y^'+6y=e^{-x}*sin(x)

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{- x} \cdot sin (x)

integral of (2x)

\int (2 x) d x

integral of (arctan(ln(x)))/x

\int \frac{arctan ( ln ( x ) )}{x} d x

derivative f(x)=x^2sin(x^2+3)

d er i v a t i v e f (x) = x^{2} sin (x^{2} + 3)